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Mathematics
Mathematics
Problem
Find the second derivative
d
2
d
x
2
(
7
⋅
5
x
)
\dfrac{d^{2}}{dx^{2}}\bigl(7\cdot 5^{x}\bigr)
d
x
2
d
2
(
7
⋅
5
x
)
. a)
7
(
ln
5
)
2
5
x
−
1
7(\ln 5)^{2}5^{x-1}
7
(
ln
5
)
2
5
x
−
1
b)
7
(
ln
5
)
2
5
x
7(\ln 5)^{2}5^{x}
7
(
ln
5
)
2
5
x
c)
7
(
(
ln
5
)
2
+
1
5
)
5
x
7\bigl((\ln 5)^{2}+\dfrac15\bigr)5^{x}
7
(
(
ln
5
)
2
+
5
1
)
5
x
d)
7
ln
5
5
x
7\ln 5\,5^{x}
7
ln
5
5
x
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